Habitat for Creative Electromagneticists

Localized Waves


Goals

We have discovered space-time solutions of Maxwell’s equations that lead to highly localized fields. We have studied their properties. We have studied independently-addressable time domain arrays to generate these localized waves. We have studied the interaction of localized waves with various structures.

 

Papers

  1. A.M. Shaarawi, S. M. Sedky, F. M. M. Taiel, R. W. Ziolkowski, and I. M. Besieris, “A spectral analysis of time-limited pulsed gaussian wavefields,J. Opt. Soc. Am. A, Vol. 13, No. 9, pp. 1827-1836, September 1996.  

  2. A.M. Shaarawi, S. M. Sedky, R. W. Ziolkowski, and F. M. M. Taiel, “Effect of the switching pattern of the illumination of dynamic apertures on the ranges of the generated localized pulses,J. Opt. Soc. Am. A, Vol. 13, No. 8, pp. 1712-1718, August 1996.  

  3. A.M. Shaarawi, S. M. Sedky, R. W. Ziolkowski, and  I. M. Besieris, “The spatial distribution of the illumination of dynamic apertures and its effect on the decay rate of the radiated localized pulses,J. Phys. A., Vol. 29, No. 16, pp. 5157-5179, August 1996.  

  4. R. W. Ziolkowski, “Electromagnetic localized waves that counteract Coulomb repulsion to catalyze a collective electron packet state,Phys. Rev. E., Vol. 52(5), pt. B, pp. 5338-43, November 1995.  

  5.  A. M. Shaarawi, R. W. Ziolkowski, and I. M. Besieris, “On the evanescent fields and the causality of focus wave modes,J. Math. Phys., Vol. 36, No. 10, pp. 5565-5587, October 1995.  

  6. M. Shaarawi, I. M. Besieris, R. W. Ziolkowski, and S. M. Sedky, “The generation of approximate focus wave mode pulses from wide-band dynamic gaussian apertures,” J. Opt. Soc. Am. A, Vol. 12(9), pp. 1954-1964, September 1995.  

  7. A. M. Shaarawi, I. M. Besieris, and R. W. Ziolkowski, “The propagating and evanescent field components of localized wave solutions,Opt. Comm., Vol. 116, pp. 183-192, April 1995.  

  8. I. M. Besieris, A. M. Shaarawi, and R. W. Ziolkowski, “Nondispersive accelerating wavepackets,Am. J. Phys., Vol. 62(6), pp. 519-521, 1994.  

  9. A. M. Shaarawi, I. M. Besieris, and R. W. Ziolkowski, “Diffraction of a localized wave packet in a two slit interference experiment,Phys. Lett. A, Vol. 188, pp. 218-224, 1994.  

  10. R. Donnelly and R. W. Ziolkowski, “Solutions of Nonlinear Partial Differential Equations in Phase Space,” Physica D, Vol. 78, pp. 115-123, 1994.  

  11. R. Donnelly and R. W. Ziolkowski, “Designing localized waves,Proc. Roy. Soc. London A, Vol. A440, pp. 541-565, 1993.  

  12. B. Lichtenberg, N. C. Gallagher and R. W. Ziolkowski, “Closed-form, localized wave solutions in optical-fiber waveguides: comment,” J. Opt. Soc. Am. A,Vol. 10, pp. 2090-2091, September 1993  

  13. S. N. Samaddar and R. W. Ziolkowski, “Comments on 'Properties of electromagnetic beams generated by ultra-wide bandwidth pulse-driven arrays' (and reply),” IEEE Trans. Antennas and Propagat., Vol. 41(4), pp. 520-522, April 1993.  

  14. R. W. Ziolkowski, I. M. Besieris, and A. M. Shaarawi, “Aperture realizations of exact solutions to homogeneous wave equations,” J. Opt. Soc. Am. A, Vol. 10(1), pp. 75-87, 1993.  

  15. J. E. Hernandez, R. W. Ziolkowski, and S. R. Parker, “Synthesis of the driving functions of an array for propagating localized wave energy,” J. Acoustical Soc. Am., Vol. 92(1), pp. 550-562, 1992.  

  16. R. W. Ziolkowski, “Properties of electromagnetic beams generated by ultra-wide bandwidth pulse-driven arrays,” IEEE Antennas and Propagat., Vol. 40(8), pp. 888-903, 1992.  

  17. A. M. Vengsarkar, I. M. Besieris, A. M. Shaarawi, and R. W. Ziolkowski, “Closed-form, localized wave solutions in optical fiber waveguides,” J. Opt. Soc. Am. A, Vol. 9 (6), pp. 937-949, 1992.  

  18. R. Donnelly and R. W. Ziolkowski, “A method for constructing solutions of homogeneous partial differential equations:localised waves,” Proc. Roy. Soc. London A, Vol. A437, pp. 673-692, 1992.  

  19. M. K. Tippett and R. W. Ziolkowski, “A bidirectional wave transformation of the cold plasma equations,” J. Math. Phys., Vol. 32(2), pp. 488-492, 1991.  

  20. R. W. Ziolkowski, I. M. Besieris, and A. M. Shaarawi, “Localized wave representations of acoustic and electromagnetic radiation,” IEEE Proceedings, Vol. 79(10), pp. 1371-1378, 1991.  

  21. R. W. Ziolkowski and M. K. Tippett, “Collective effect in an electron plasma system catayzed by a localized electromagnetic wave,” Phys. Rev. A., Vol. 43(6), pp. 3066-3072, 1991.  

  22. R. W. Ziolkowski, “Localized wave physics and engineering,” Phys. Rev. A, Vol. 44(6), pp. 3960-3984, 1991.  

  23. A. M. Shaarawi, I. M. Besieris, and R. W. Ziolkowski, “A novel approach to the synthesis of nondispersive wave packet solutions to the Klein-Gordon and the Dirac equations,J. Math. Phys., Vol. 31(11), pp. 2511-2519, 1990.  

  24. R. W. Ziolkowski and D. K. Lewis, “Verification of the localized wave transmission effect,J. Appl. Phys., Vol. 68, pp. 6083-6086, 1990.  

  25. J. V. Candy, R. W. Ziolkowski, and D. K. Lewis, “Transient waves: Reconstruction and processing,” J. Acous. Soc. Am., Vol. 88(5), pp. 2248-2258, 1990.  

  26. J. V. Candy, R. W. Ziolkowski, and D. K. Lewis, “Transient wave estimation: A multichannel deconvolution application,” J. Acous. Soc. Am., Vol. 88(5), pp. 2235-2247, 1990.  

  27. R. W. Ziolkowski, “Localized transmission of electromagnetic energy,” Phys. Rev. A, Vol. 39(4), pp. 2005-2033, 1989.  

  28. I. M. Besieris, A. M. Shaarawi, and R. W. Ziolkowski, “A bidirectional traveling plane representation of exact solutions of the scalar wave equation,” J. Math. Phys., Vol. 30(6), pp. 1254-1269, 1989.  

  29. A. M. Shaarawi, I. M. Besieris, and R. W. Ziolkowski, “Localized energy pulse trains launched from an open, semi-infinite circular waveguide,” J. Appl. Phys., Vol. 65(2), pp. 805-813, 1989.  

  30. R. W. Ziolkowski, D. K. Lewis, and B. D. Cook, “Evidence of localized wave transmission,” Phys. Rev. Lett., Vol. 62(2), pp. 147-150, 1989.  

  31. R. W. Ziolkowski, A. M. Shaarawi, and I. M. Besieris, “A space-time representation of a massive, relativistic, spin zero particle,” Proc. Intern. Symp. on Space-Time Symmetries, Nuclear Phys. B (Proc. Suppl.), Vol. 6, pp. 255-258, College Park, MD, May, 1988.  

  32. R. W. Ziolkowski, “Exact solutions of the wave equation with complex source locations,” J. Math. Phys., Vol. 26(4), pp. 861-863, 1985.